Alpha Fractal Rational Quintic Spline with Shape Preserving Properties

Abstract

The intent of this paper is to construct the alpha fractal rational quintic spline. We have considered C2 rational quintic function, which is of the rational form, where the numerator is a quintic polynomial and denominator is a linear polynomial having two shape parameters i.e. sm & tm and deduced the uniform error bound for alpha fractal rational quintic spline. Also constraints have been applied on shape parameters and scaling factors to drive the shape preserving properties.